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Simplifying 25a2 + -40ab + 16b2 = 0 Reorder the terms: -40ab + 25a2 + 16b2 = 0 Solving -40ab + 25a2 + 16b2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -4b)(5a + -4b) = 0Subproblem 1
Set the factor '(5a + -4b)' equal to zero and attempt to solve: Simplifying 5a + -4b = 0 Solving 5a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 0 = 0 + 4b 5a = 0 + 4b Remove the zero: 5a = 4b Divide each side by '5'. a = 0.8b Simplifying a = 0.8bSubproblem 2
Set the factor '(5a + -4b)' equal to zero and attempt to solve: Simplifying 5a + -4b = 0 Solving 5a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 0 = 0 + 4b 5a = 0 + 4b Remove the zero: 5a = 4b Divide each side by '5'. a = 0.8b Simplifying a = 0.8bSolution
a = {0.8b, 0.8b}
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